Use the law of sines and the law of cosines, in conjunction with sketches of the force polygons, to solve the following problems. Determine the magnitude of the resultant R and the angle e between the x-axis and the line of action of the resultant for the following: 500 N 250 N 750 N

Q: show how to resolve the force F into components acting along the u and v axes using the…

A: Resolving force into two components using parallelogram law

Q: Determine the x-and y-coordinates of the trapezoidal shape. 2.0 b Answers: b 1.3 b A FHE )b

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Q: Which of the following equations correctly evaluates the scalar triple product of three Cartesian…

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Q: In the diagram shown, vector W has a magnitude of 0.30 [m] and is directed 35. N of E. Vector Y has…

A: Given Magnitude of the two vectors are given as W→=0.30 m and Y→=50 N  Angle of Y→ with the +y axis…

Q: Use the law of sines and the law of cosines, in conjunction with sketches of the force triangles, to…

A: The cosine law is used to determine the magnitude of the resultant vector whereas the sine law is…

Q: Two vectors have the following magnitude, A = 10.4 m and B = 14.5 m. Their vector product is: %3D…

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Q: 2. Particle A lies on the xy plane and is acted on by the three forces shown. Find the resultant of…

A: We have coordinates of as- A=(2.1,1.8,0) B=(4.5,0,0) C=(1.2,0,0.6) D=(0,0,1.8) For DA- Direction…

Q: Use the definition of the vector product and the defini- tions of the unit vectors î, j, and k to…

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Q: For given vectors i=(0.8, 0.6, 0), j=(-0.6, 0.8, 0), and k=(1, 0, 0) in 3D space; find the results…

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Q: Given P = 32 u, 90° N of E and R = 12 u, 45° N of E, find P - R in unit-vector form. Use the…

A: Given:P→ = 32 u, 90° North of EastR→ = 12 u, 45° North of East

Q: Calculate the magnitude of resultant vector, angle and its direction of the ash flume of reach of…

A: displacement vector S = S1 + S2 + S3  S = 175(Cos48° i - Sin48° j) + 78(Cos25° i+Sin25° j) +…

Q: and vector

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Q: Calculate the angle between the vectors: Ã= 6.11-3.0j-6.8k and B = 8.3i+2.9j-6.7k. %3D

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Q: + The dot produet of any two vectors as 4 and 4 can be written as: A: 4.4, 4,A, cos0 c 14 x 4= 4,4,…

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Q: Two vectors have the following magnitude, A = 11.6 m and B = 14.3 m. Their vector product is: AxB =…

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Q: Consider two vectors Å = -5î – 3j + 2k and B = -8j - 2k, find the angle between vectors Å and B.

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Q: Calculate the areas of the following surfaces using the differential surface area dS p=2,0 ≤z≤ 5,…

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Q: Given a force F that has magnitude of 240 N, find the angles ex, Oy, 0z that define the direction of…

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Q: A (-3; 2; 0), B (0; 0; 6), C (2; -3; 0) and D (0; -3; 0), Since FBA = 152, FBC = 201 and FBD = 192,…

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Q: The two vectors shown in the figure lie in an xy plane. What are the signs of the x and y…

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Q: ihow how to resolve the force F into components acting along the u and v axes using the…

A: Using cosine rule,

Q: . Position vectors of two particles, A and B are given: A = 3i + 4j + 5k meters B = -4i + 2j - 7k…

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Q: The angle made by the two vectors S = 37 + 47 +5k and M = 31 +4) + 5k js A 180 B) 45 90 E) No Answer

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Q: 8) Consider two vectors à and B where: A = -6.00 i + 3.00 ĵ + 3.00 k B = 6.00 î – 8.00 j + 4.00 k If…

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Q: Using the vectors u = (-1,0, 1) and &= (0, 1,0) solve the following problems

A: Given     u = (-1,0,1)  v = (0,1,0)  Now ....5u = (-5,0,5)  4v = (0,4,0)

Q: The angle made by the two vectors Ŝ = 37 + 4ĵ +5k and M =3î+4ĵ +5k is: А) о B) 90 C 45 (D 180 E) No…

A: Given that, vector:S→=3 i^+ 4 j^ +5 k^M→=3 i^+ 4 j^ +5 k^   A single point will defer the angle…

Q: Given two vectors A = 7i+5j-2k, and B = 3i - 10j + 6k, what is the angle between the two vectors? O…

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Q: 13 B Consider the two vectors given in the figure, what is their DIFFERENCE in the unit vector…

A: From the figure we count the number of boxes to find out the unit vectors. The vector  can be…

Q: The forces F, = (2i + bj) N, F2 = (-i+2j) N and F3 = (ai – 4j) N act through the points wit position…

A: Part a: Since, the system of forces is equivalent to just a couple, the net force must be zero.

Q: The magnitudes of the vectors are A = 10.9, B = 4.8, C = 11.6, D = 18.7, and F = 18.7. The angles,…

A: (a) The vector F+2C is,

Q: A (-3; 2; 0), B (0; D; 6), C (2; -3; 0) and D (0; -3; 0), Since FBA = 152, FBC= 201 and FBD 192,…

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Q: Find the angle between the vectors A = 2i + 6j + 3k and B = 12i – 4j + 3k. Hint: a .b = ab cose %3D

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Q: Show that when A⃗ +B⃗ =C⃗ A→+B→=C→, then C2=A2+B2+2ABcosφC2=A2+B2+2ABcosφ, where φφ is the angle…

A: Given:-  A→+B→= C→ Find:-  Show that C2 = A2+B2+2ABcosφ here φ is the angle between vectors A→ and…

Q: a.) Compute the angle 0, between the force vector F and the +z – axis. b.) Determine the vector…

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Q: Vector A = 7.2 i + 2.6 j. Vector B = 7.5 i + 7.4 j. The magnitude of the cross product i.e. |AxB|…

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Q: Given: A= 5i + 4j + 6k lbm B= 2i + 4j + 9k kgm C= 20i + 20k N Find: A.) Angles of A in radians B.)…

A: Cross Product: the cross product is a binary operation between two vectors which itself results in a…

Q: Use the law of sines and the law of cosines, in conjunction with sketches of the force triangles, to…

A: The orientation of the for 240 N from the positive x-axis is, The orientation of the for 180 N from…

Q: The two vectors A⃗ =(4.7)i^+(6.9)j^+(3.7)k^A→=(4.7)i^+(6.9)j^+(3.7)k^ and B⃗…

A: Vectors are multiplied in 2 ways. One ways results in a scalar from multiplication. Other way…

Q: The leaning Tower of Pisa is 59.1 m high and 7.44 m in diameter. The top of the tower is displaced…

A: a) The displacement of the top is, Thus, the required additional displacement is,

Q: Three vectors are given by: d = 21 – 35 + 5k, B = -2î + 7 – k and č = aî + 2ĵ – 4k. a) Find a, 2 ,…

A: We have been provided with three vectors so, we will solve them by breaking them into steps.

Q: Two force vectors are oriented such that the angle between their directions is 49 degrees and they…

A: Given data: Angle θ=49° Force F=5.73 N

Q: 45. Let S=(1 m)î + (2 m)ĵ +(2 m)k and T = (3 m)î +(4 m)k. The angle between these two vectors is…

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Q: Given points A(1,-2,3), B(3,-4,-6) and C(-2,3,5) Find: 1. RAB, RBc and RaC 2. Unit vectors of the…

A: We have 3 points A(1,-2,3), B(3,-4,-6), C(-2,3,5) and their corresponding vectors rA→=i^-2j^+3k^ ,…

Q: Given the following forces in vector notations: F1 = 2i – 5j + 3k F2 = 3i + 4j – 2k %3D Find (a) the…

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Q: .Calculate the area of the parallelogram whose two adjacent sides are formed by the vectors. A = 3i…

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Q: 1900 N 900 N 20 30 F25 70°

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Q: Vectors A, B and C are defined as follows: A = 2.5i + 3.6j – 4.3k; B = 2.5i – 5.6j + 2.2k; C = 8.4i…

A: A→=2.5 i^+3.6 j^-4.3 k^ B→=2.5 i^-5.6 j^+2.2 k^ C→=8.4 i^+8.5…

Q: Which of the following statements is true about the relationship between the magnitude of the cross…

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Q: n 1: For the vectors È = 28 - 4ý+ 32, F=38- ý+52 then: 1. Find the tangential component E, of É (he…

A: 1E→=2x^-4y^+3z^F→=3x^-y^+5z^F=9+1+25=35F^=3x^-y^+5z^35 E→ can be written asE→=E→∥+E→⊥so , tangential…

Q: Three force vectors act on a free body at the origin as shown. F1= 4 N F2=2.0 i + 3.1 J N F3= 6.3 N…

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